Random Bernstein-Markov factors

Igor Pritsker, Koushik Ramachandran

For a polynomial $P_n$ of degree $n$, Bernstein's inequality states that $\Vert P_n^{\prime }\Vert \le n\Vert P_n\Vert$ for all $L^p$ norms on the unit circle, $0<p\le \infty ,$ with equality for $P_n(z)=…